In this paper, we consider the semilinear equation involving the fractional Laplacian in the Euclidian space R^n:(-△)^α/2u(x) : f(xn)u^p(x), x ∈R^n(0.1)in the subcritical case with 1〈 p〈n+a/n-a.Inste...
In either a periodic box Td or Rd (1 ≤ d ≤ 3), we obtain global bounded solution of the relativistic Boltzmann equation near global relativistic Maxwellian, in terms of natural mass, energy conservation and the en...